Exponential inequalities for Mann’s stochastic algorithm
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Publication:5113793
DOI10.1080/07474946.2020.1726681zbMath1476.62171OpenAlexW3024134853WikidataQ115550918 ScholiaQ115550918MaRDI QIDQ5113793
Chahira Allouti, Abdelnasser Dahmani, Bahia Barache
Publication date: 17 June 2020
Published in: Sequential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/07474946.2020.1726681
rate of convergencefixed pointMann iterationnegative associationalmost complete convergencequasi-associated random errors
Inequalities; stochastic orderings (60E15) Stochastic approximation (62L20) Topological data analysis (62R40)
Uses Software
Cites Work
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- On the error estimation and \(T\)-stability of the Mann iteration
- An exponential inequality under weak dependence
- Exponential bounds in stochastic approximation procedures
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- Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type
- Strong convergence of modified Mann iterations
- Negative association of random variables, with applications
- Random Mann iteration scheme
- Convergence of a random iteration scheme to a random fixed point
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- Random Mann iteration scheme and random fixed point theorems
- Equivalence and stability of random fixed point iterative procedures
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- Random equations
- Fixed point theorems in probabilistic analysis
- Exponential inequalities for Mann’s iterative scheme with functional random errors
- ALMOST STABILITY OF THE MANN ITERATION METHOD WITH ERRORS FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN SMOOTH BANACH SPACES
- Mean Value Methods in Iteration
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